acuteness vs keenness

acuteness and keenness both are nouns.

Word	Noun	Adjective	Verb	Adverb
acuteness	Yes	No	No	No
keenness	Yes	No	No	No

As nouns, keenness is a hypernym of acuteness; that is, keenness is a word with a broader meaning than acuteness:

Other hypernyms of acuteness include sharpness.

As nouns, acuteness and keenness are synonyms defined as:

Other synonyms of acuteness include acuity, sharpness.

acuteness (noun)	keenness (noun)
the quality of having a sharp edge or point	thinness of edge or fineness of point
a quick and penetrating intelligence	a quick and penetrating intelligence
a sensitivity that is keen and highly developed	a positive feeling of wanting to push ahead with something